Question

If a charge is located at the center of a spherical volume and the electric flux through the surface of the sphere is Φ, what should be the flux through the surface if the radius of the sphere were tripled? Draw the diagram with a sphere of radius R and the second surface of radius 3R. Draw enough field lines to illustrate the field. Calculate the flux through each surface. What is the relationship of the flux through radius R with the flux through radius 3R. What is the relationship of the electric fields at R (ER) compared with the field at 3R (E3R)?

Answer 1

The expression of the electric flux is, endosed Here, lendosed is the charge enclosed in the spherical volume The electric flux remains the same if the radius of the sphere were tripled So, the flux remains ф because the flux depends on the charge enclosed. endosed The expression of the flux in terms electric field and the area is, Flux when the radius is tripled. The flux remains the same so, the relation between the electric field is,